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4 years ago

6

Find the equation in slope-intercept form for the line that passes through the point for the line that passes through the point

(-9, -1) and is
perpendicular to the line 3x - 2y = 17.

1 answer:

Elina [12.6K]4 years ago

5 0

Answer with explanation in photo

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3 years ago

M = 3, through (1,-1)<br> Point-Slope<br> Slope intercept

Lapatulllka [165]

Answer:

$\large\boxed{y+1=3(x-1)}\\\\\boxed{y=3x-4}$

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

<em>m</em><em> - slope</em>

<em>(x₁, y₁)</em><em> - a point on a line</em>

We have

$m=3,\ (1,\ -1)\to x_1=1,\ y_1=-1$

Substitute:

$y-(-1)=3(x-1)\\\\\boxed{y+1=3(x-1)}$

Convert to the slope-intercept form

$y=mx+b$

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

$y+1=3(x-1)$ <em>use the distributive property</em>

$y+1=3x-3$ <em>subtract 1 from both sides</em>

$\boxed{y=3x-4}$

3 0

4 years ago